Finding the Third Proportional to 78,528 and 120,096

Step by Step Solution

1. Step 1: Write the proportion equation
   78,528 : 120,096 = 120,096 : x
2. Step 2: Convert to fraction form
   78,528/120,096 = 120,096/x
3. Step 3: Cross multiply
   78,528x = 120,096 × 120,096
4. Step 4: Simplify right side
   78,528x = 14,423,049,216
5. Step 5: Solve for x
   x = 14,423,049,216/78,528
6. Step 6: Final answer
   x = 183,667.60